Question
Suppose $f^{\prime \prime}$ exists and is positive on an interval $I$. Describe the relationship between the graph of $f$ and its tangent lines on the interval $I$
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The second derivative, $f''(x)$, gives us information about the concavity of the function. If $f''(x)$ is positive, the function is concave up. If $f''(x)$ is negative, the function is concave down. Show more…
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